# Arithmetic Progressions (IMO Level 1- Mathematics Olympiad (SOF) Class 10): Questions 1 - 6 of 85

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## Question number: 1

» Arithmetic Progressions

### Question

A number 32 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the lowest part.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 6 | |

b. | 2 | |

c. | 10 | |

d. | 14 |

## Question number: 2

» Arithmetic Progressions

### Question

If the sum of three consecutive terms of an increasing A. P. is 30 and the product of the first and third of these terms is 75, then the third term is ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 32 | |

b. | 27 | |

c. | 19 | |

d. | 15 |

## Question number: 3

» Arithmetic Progressions

### Question

If the sum of three consecutive terms of an increasing A. P. is 51 and the product of the first and third of these terms is 273, then the third term is ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 21 | |

b. | 13 | |

c. | 17 | |

d. | 9 |

## Question number: 4

» Arithmetic Progressions

### Question

Between the numbers 4 and 40,18 means (such that 10 numbers are in arithmetic progression) are inserted, then their sum is ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 881 | |

b. | 836 | |

c. | 526 | |

d. | 603 |

## Question number: 5

» Arithmetic Progressions

### Question

The number of terms common between the two series Up to 20 terms and the series up to 30 terms is ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 10 | |

b. | 17 | |

c. | 18 | |

d. | 16 |

## Question number: 6

» Arithmetic Progressions

### Question

A number 144 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 56 | |

b. | 48 | |

c. | 46 | |

d. | 54 |